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Schwarzschild Black Hole Thermodynamics and Generalized Uncertainty Principle

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Abstract

In this paper, a linear generalized uncertainty principle (GUP), which suggests a minimum measurable length and a maximal measurable momentum, is used in analyzing COW experiment and Einstein-Bohr’s a photon box experiment. Based in these experiments a modified Schwarzschild metric was obtained in order to calculate a quantum corrections in Schwarzschild black hole thermodynamics and tunneling probability. It was found that GUP placed restrictions on the minimum mass, size and temperature of the black hole, indicating that there was a black hole remnant after the completion of the evaporation process. The resulting values of minimum mass and size of the black hole are identical to that values predicted by quadratic GUP, which points out that the two models are equivalence in Planck scale measurements.

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  1. Physics Department, Faculty of Science, Benha University, Benha, 13518, Egypt

    Mohamed Moussa

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  1. Mohamed Moussa
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Moussa, M. Schwarzschild Black Hole Thermodynamics and Generalized Uncertainty Principle. Int J Theor Phys 60, 994–1007 (2021). https://doi.org/10.1007/s10773-021-04722-2

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